This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.2872928

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.13 while 0.87 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

13

1

1

0.374

0.365

0.131

0.677

1.061

0.143

0.063

NSEI

p_pelagic

13

1

2

0.168

0.150

0.043

0.395

1.061

0.092

0.197

NSEI

p_yellow

13

1

1

0.426

0.371

0.126

0.986

1.052

0.226

0.243

NSEI

p_yellow

13

1

2

0.431

0.382

0.128

0.985

1.044

0.227

0.216

NSEI

p_pelagic

13

10

1

0.381

0.374

0.137

0.660

1.039

0.141

0.050

NSEI

p_pelagic

13

10

2

0.171

0.154

0.047

0.375

1.060

0.088

0.193

NSEI

p_yellow

13

10

1

0.425

0.371

0.128

0.981

1.050

0.227

0.238

NSEI

p_yellow

13

10

2

0.429

0.375

0.126

0.985

1.046

0.226

0.239

NSEI

p_pelagic

13

11

1

0.383

0.375

0.135

0.675

1.049

0.144

0.056

NSEI

p_pelagic

13

11

2

0.174

0.156

0.052

0.393

1.047

0.090

0.200

NSEI

p_yellow

13

11

1

0.424

0.370

0.126

0.983

1.050

0.228

0.237

NSEI

p_yellow

13

11

2

0.428

0.373

0.137

0.986

1.058

0.224

0.245

NSEI

p_pelagic

13

12

1

0.383

0.378

0.142

0.666

1.050

0.142

0.035

NSEI

p_pelagic

13

12

2

0.173

0.158

0.050

0.389

1.040

0.090

0.167

NSEI

p_yellow

13

12

1

0.428

0.372

0.131

0.985

1.047

0.225

0.249

NSEI

p_yellow

13

12

2

0.423

0.367

0.125

0.987

1.050

0.227

0.247

NSEI

p_pelagic

13

13

1

0.386

0.379

0.150

0.667

1.044

0.135

0.052

NSEI

p_pelagic

13

13

2

0.177

0.164

0.052

0.389

1.044

0.087

0.149

NSEI

p_yellow

13

13

1

0.427

0.372

0.124

0.985

1.051

0.225

0.244

NSEI

p_yellow

13

13

2

0.431

0.378

0.125

0.986

1.042

0.227

0.234

NSEI

p_pelagic

13

14

1

0.365

0.355

0.138

0.648

1.038

0.134

0.075

NSEI

p_pelagic

13

14

2

0.171

0.157

0.052

0.372

1.040

0.083

0.169

NSEI

p_yellow

13

14

1

0.423

0.370

0.125

0.988

1.049

0.226

0.235

NSEI

p_yellow

13

14

2

0.429

0.379

0.124

0.985

1.049

0.226

0.221

NSEI

p_pelagic

13

15

1

0.342

0.327

0.126

0.625

1.036

0.130

0.115

NSEI

p_pelagic

13

15

2

0.162

0.146

0.049

0.365

1.054

0.082

0.195

NSEI

p_yellow

13

15

1

0.421

0.363

0.120

0.984

1.041

0.227

0.256

NSEI

p_yellow

13

15

2

0.426

0.371

0.124

0.987

1.043

0.228

0.241

NSEI

p_pelagic

13

16

1

0.370

0.360

0.156

0.639

1.043

0.127

0.079

NSEI

p_pelagic

13

16

2

0.176

0.160

0.056

0.374

1.036

0.084

0.190

NSEI

p_yellow

13

16

1

0.424

0.366

0.129

0.986

1.051

0.226

0.257

NSEI

p_yellow

13

16

2

0.427

0.369

0.123

0.985

1.055

0.228

0.255

NSEI

p_pelagic

13

17

1

0.382

0.374

0.164

0.657

1.026

0.129

0.062

NSEI

p_pelagic

13

17

2

0.181

0.165

0.057

0.390

1.026

0.087

0.184

NSEI

p_yellow

13

17

1

0.424

0.368

0.123

0.985

1.046

0.226

0.248

NSEI

p_yellow

13

17

2

0.429

0.377

0.128

0.986

1.049

0.225

0.232

NSEI

p_pelagic

13

18

1

0.389

0.381

0.165

0.645

1.026

0.128

0.062

NSEI

p_pelagic

13

18

2

0.179

0.164

0.058

0.391

1.034

0.084

0.178

NSEI

p_yellow

13

18

1

0.426

0.375

0.123

0.985

1.046

0.225

0.227

NSEI

p_yellow

13

18

2

0.431

0.375

0.125

0.984

1.054

0.226

0.248

NSEI

p_pelagic

13

19

1

0.386

0.378

0.160

0.649

1.028

0.127

0.063

NSEI

p_pelagic

13

19

2

0.184

0.172

0.061

0.377

1.029

0.082

0.146

NSEI

p_yellow

13

19

1

0.423

0.374

0.126

0.983

1.048

0.224

0.219

NSEI

p_yellow

13

19

2

0.427

0.374

0.124

0.984

1.044

0.225

0.236

NSEI

p_pelagic

13

2

1

0.374

0.367

0.131

0.671

1.059

0.144

0.049

NSEI

p_pelagic

13

2

2

0.169

0.151

0.043

0.390

1.051

0.093

0.193

NSEI

p_yellow

13

2

1

0.428

0.375

0.126

0.985

1.040

0.224

0.236

NSEI

p_yellow

13

2

2

0.430

0.379

0.127

0.986

1.049

0.227

0.225

NSEI

p_pelagic

13

20

1

0.398

0.393

0.181

0.661

1.028

0.127

0.039

NSEI

p_pelagic

13

20

2

0.187

0.175

0.062

0.387

1.021

0.083

0.145

NSEI

p_yellow

13

20

1

0.421

0.367

0.125

0.985

1.048

0.226

0.239

NSEI

p_yellow

13

20

2

0.428

0.375

0.125

0.984

1.050

0.225

0.236

NSEI

p_pelagic

13

21

1

0.410

0.405

0.189

0.669

1.028

0.125

0.040

NSEI

p_pelagic

13

21

2

0.194

0.180

0.066

0.385

1.019

0.085

0.166

NSEI

p_yellow

13

21

1

0.420

0.370

0.122

0.985

1.053

0.225

0.222

NSEI

p_yellow

13

21

2

0.432

0.379

0.130

0.988

1.047

0.227

0.234

NSEI

p_pelagic

13

22

2

0.192

0.181

0.072

0.376

1.011

0.080

0.137

NSEI

p_yellow

13

22

1

0.422

0.368

0.117

0.983

1.049

0.226

0.239

NSEI

p_yellow

13

22

2

0.426

0.373

0.125

0.985

1.042

0.224

0.236

NSEI

p_yellow

13

23

1

0.386

0.329

0.096

0.981

1.047

0.230

0.248

NSEI

p_yellow

13

23

2

0.475

0.433

0.153

0.989

1.039

0.219

0.192

NSEI

p_yellow

13

24

1

0.390

0.329

0.102

0.983

1.053

0.226

0.270

NSEI

p_yellow

13

24

2

0.476

0.438

0.153

0.989

1.045

0.219

0.174

NSEI

p_yellow

13

25

1

0.391

0.337

0.102

0.979

1.058

0.223

0.242

NSEI

p_yellow

13

25

2

0.471

0.429

0.154

0.988

1.040

0.220

0.191

NSEI

p_yellow

13

26

1

0.383

0.329

0.105

0.980

1.048

0.221

0.244

NSEI

p_yellow

13

26

2

0.471

0.430

0.147

0.989

1.037

0.218

0.188

NSEI

p_yellow

13

27

1

0.369

0.312

0.101

0.980

1.051

0.219

0.261

NSEI

p_yellow

13

27

2

0.466

0.427

0.146

0.988

1.043

0.215

0.181

NSEI

p_yellow

13

28

1

0.380

0.332

0.098

0.977

1.054

0.216

0.222

NSEI

p_yellow

13

28

2

0.469

0.432

0.156

0.985

1.037

0.211

0.175

NSEI

p_yellow

13

29

1

0.358

0.313

0.100

0.947

1.037

0.200

0.225

NSEI

p_yellow

13

29

2

0.455

0.422

0.156

0.969

1.047

0.199

0.166

NSEI

p_pelagic

13

3

1

0.373

0.364

0.130

0.660

1.057

0.143

0.063

NSEI

p_pelagic

13

3

2

0.168

0.151

0.043

0.393

1.054

0.091

0.188

NSEI

p_yellow

13

3

1

0.422

0.368

0.123

0.983

1.044

0.225

0.240

NSEI

p_yellow

13

3

2

0.426

0.370

0.127

0.987

1.047

0.229

0.245

NSEI

p_pelagic

13

4

1

0.375

0.368

0.138

0.669

1.046

0.143

0.049

NSEI

p_pelagic

13

4

2

0.169

0.152

0.043

0.387

1.064

0.092

0.185

NSEI

p_yellow

13

4

1

0.425

0.369

0.121

0.984

1.041

0.227

0.247

NSEI

p_yellow

13

4

2

0.432

0.377

0.126

0.986

1.050

0.228

0.241

NSEI

p_pelagic

13

5

1

0.377

0.366

0.136

0.672

1.057

0.143

0.077

NSEI

p_pelagic

13

5

2

0.170

0.153

0.045

0.384

1.051

0.089

0.192

NSEI

p_yellow

13

5

1

0.423

0.366

0.121

0.984

1.053

0.227

0.251

NSEI

p_yellow

13

5

2

0.430

0.378

0.118

0.983

1.049

0.227

0.229

NSEI

p_pelagic

13

6

1

0.377

0.372

0.137

0.667

1.060

0.142

0.035

NSEI

p_pelagic

13

6

2

0.169

0.154

0.044

0.381

1.047

0.088

0.171

NSEI

p_yellow

13

6

1

0.423

0.372

0.128

0.985

1.047

0.226

0.225

NSEI

p_yellow

13

6

2

0.428

0.373

0.124

0.985

1.046

0.228

0.242

NSEI

p_pelagic

13

7

1

0.379

0.371

0.136

0.670

1.042

0.141

0.057

NSEI

p_pelagic

13

7

2

0.171

0.157

0.045

0.373

1.065

0.089

0.156

NSEI

p_yellow

13

7

1

0.426

0.377

0.121

0.985

1.045

0.226

0.217

NSEI

p_yellow

13

7

2

0.431

0.382

0.127

0.985

1.045

0.225

0.218

NSEI

p_pelagic

13

8

1

0.379

0.374

0.141

0.662

1.046

0.141

0.036

NSEI

p_pelagic

13

8

2

0.172

0.157

0.046

0.380

1.055

0.090

0.167

NSEI

p_yellow

13

8

1

0.423

0.370

0.125

0.982

1.044

0.224

0.236

NSEI

p_yellow

13

8

2

0.432

0.382

0.122

0.986

1.048

0.226

0.222

NSEI

p_pelagic

13

9

1

0.379

0.371

0.137

0.658

1.051

0.139

0.057

NSEI

p_pelagic

13

9

2

0.172

0.155

0.047

0.381

1.052

0.089

0.191

NSEI

p_yellow

13

9

1

0.426

0.375

0.127

0.986

1.048

0.224

0.228

NSEI

p_yellow

13

9

2

0.428

0.374

0.120

0.985

1.044

0.227

0.238

NSEI

p_yellow

14

1

1

0.571

0.555

0.249

0.984

1.013

0.182

0.088

NSEO

p_yellow

14

1

2

0.609

0.604

0.281

0.990

1.020

0.176

0.028

NSEO

p_yellow

14

10

1

0.573

0.562

0.251

0.983

1.018

0.183

0.060

NSEO

p_yellow

14

10

2

0.609

0.605

0.285

0.988

1.013

0.175

0.023

NSEO

p_yellow

14

11

1

0.569

0.556

0.246

0.985

1.014

0.183

0.071

NSEO

p_yellow

14

11

2

0.608

0.601

0.289

0.989

1.015

0.178

0.039

NSEO

p_yellow

14

12

1

0.569

0.553

0.255

0.986

1.012

0.183

0.087

NSEO

p_yellow

14

12

2

0.607

0.601

0.279

0.985

1.016

0.178

0.034

NSEO

p_yellow

14

13

1

0.567

0.552

0.253

0.986

1.014

0.182

0.082

NSEO

p_yellow

14

13

2

0.613

0.604

0.285

0.988

1.011

0.177

0.051

NSEO

p_yellow

14

14

1

0.572

0.558

0.250

0.982

1.013

0.184

0.076

NSEO

p_yellow

14

14

2

0.611

0.607

0.291

0.988

1.011

0.177

0.023

NSEO

p_yellow

14

15

1

0.570

0.562

0.242

0.984

1.014

0.183

0.044

NSEO

p_yellow

14

15

2

0.607

0.600

0.278

0.989

1.012

0.179

0.039

NSEO

p_yellow

14

16

1

0.571

0.559

0.255

0.986

1.017

0.182

0.066

NSEO

p_yellow

14

16

2

0.615

0.607

0.289

0.987

1.016

0.176

0.045

NSEO

p_yellow

14

17

1

0.564

0.549

0.257

0.984

1.014

0.181

0.083

NSEO

p_yellow

14

17

2

0.606

0.600

0.279

0.987

1.011

0.178

0.034

NSEO

p_yellow

14

18

1

0.565

0.554

0.250

0.984

1.021

0.184

0.060

NSEO

p_yellow

14

19

1

0.575

0.565

0.250

0.982

1.012

0.184

0.054

NSEO

p_yellow

14

19

2

0.613

0.609

0.294

0.988

1.010

0.174

0.023

NSEO

p_yellow

14

2

1

0.572

0.553

0.268

0.987

1.013

0.180

0.106

NSEO

p_yellow

14

2

2

0.608

0.603

0.288

0.988

1.015

0.179

0.028

NSEO

p_yellow

14

20

1

0.569

0.553

0.256

0.986

1.013

0.183

0.087

NSEO

p_yellow

14

20

2

0.612

0.605

0.286

0.986

1.011

0.177

0.040

NSEO

p_yellow

14

21

1

0.569

0.560

0.245

0.984

1.015

0.185

0.049

NSEO

p_yellow

14

21

2

0.612

0.606

0.291

0.988

1.017

0.174

0.034

NSEO

p_yellow

14

22

1

0.572

0.558

0.250

0.983

1.011

0.184

0.076

NSEO

p_yellow

14

22

2

0.612

0.602

0.289

0.987

1.015

0.176

0.057

NSEO

p_yellow

14

23

1

0.604

0.596

0.293

0.982

1.010

0.169

0.047

NSEO

p_yellow

14

23

2

0.613

0.609

0.291

0.987

1.011

0.178

0.023

NSEO

p_yellow

14

24

1

0.598

0.588

0.290

0.983

1.010

0.173

0.058

NSEO

p_yellow

14

24

2

0.609

0.606

0.280

0.987

1.018

0.178

0.017

NSEO

p_yellow

14

25

1

0.592

0.582

0.281

0.983

1.014

0.175

0.057

NSEO

p_yellow

14

25

2

0.609

0.601

0.274

0.988

1.019

0.177

0.045

NSEO

p_yellow

14

26

1

0.580

0.568

0.252

0.985

1.010

0.181

0.066

NSEO

p_yellow

14

26

2

0.607

0.601

0.277

0.989

1.017

0.178

0.034

NSEO

p_yellow

14

27

1

0.591

0.585

0.268

0.986

1.011

0.178

0.034

NSEO

p_yellow

14

27

2

0.612

0.606

0.286

0.985

1.015

0.177

0.034

NSEO

p_yellow

14

28

2

0.605

0.596

0.273

0.987

1.011

0.177

0.051

NSEO

p_yellow

14

3

2

0.614

0.609

0.285

0.988

1.016

0.176

0.028

NSEO

p_yellow

14

4

1

0.567

0.553

0.240

0.984

1.014

0.184

0.076

NSEO

p_yellow

14

4

2

0.610

0.605

0.287

0.988

1.019

0.175

0.028

NSEO

p_yellow

14

5

1

0.568

0.556

0.255

0.985

1.013

0.181

0.066

NSEO

p_yellow

14

5

2

0.609

0.607

0.287

0.988

1.020

0.178

0.011

NSEO

p_yellow

14

6

1

0.568

0.554

0.253

0.983

1.013

0.184

0.076

NSEO

p_yellow

14

6

2

0.609

0.605

0.279

0.988

1.020

0.177

0.023

NSEO

p_yellow

14

7

1

0.566

0.554

0.247

0.984

1.012

0.184

0.065

NSEO

p_yellow

14

7

2

0.609

0.605

0.273

0.988

1.012

0.179

0.022

NSEO

p_yellow

14

8

1

0.571

0.553

0.256

0.984

1.013

0.184

0.098

NSEO

p_yellow

14

8

2

0.614

0.607

0.292

0.989

1.017

0.175

0.040

NSEO

p_yellow

14

9

1

0.569

0.556

0.249

0.984

1.013

0.185

0.070

NSEO

p_yellow

14

9

2

0.609

0.603

0.270

0.984

1.016

0.179

0.034

NSEO

p_pelagic

16

1

1

0.379

0.373

0.135

0.659

1.023

0.140

0.043

SSEO

p_pelagic

16

1

2

0.356

0.345

0.128

0.635

1.025

0.139

0.079

SSEO

p_pelagic

16

10

1

0.384

0.373

0.142

0.672

1.020

0.140

0.078

SSEO

p_pelagic

16

10

2

0.362

0.356

0.126

0.647

1.021

0.137

0.044

SSEO

p_pelagic

16

11

1

0.390

0.384

0.145

0.662

1.017

0.137

0.044

SSEO

p_pelagic

16

11

2

0.366

0.358

0.133

0.648

1.020

0.138

0.058

SSEO

p_pelagic

16

12

1

0.392

0.385

0.153

0.669

1.013

0.137

0.051

SSEO

p_pelagic

16

12

2

0.368

0.359

0.139

0.645

1.018

0.134

0.067

SSEO

p_pelagic

16

13

1

0.388

0.379

0.152

0.666

1.017

0.138

0.065

SSEO

p_pelagic

16

13

2

0.366

0.354

0.137

0.642

1.019

0.133

0.090

SSEO

p_pelagic

16

14

1

0.379

0.373

0.150

0.657

1.016

0.131

0.046

SSEO

p_pelagic

16

14

2

0.369

0.359

0.142

0.642

1.012

0.131

0.076

SSEO

p_pelagic

16

15

1

0.379

0.370

0.145

0.657

1.021

0.134

0.067

SSEO

p_pelagic

16

15

2

0.368

0.357

0.143

0.649

1.022

0.133

0.082

SSEO

p_pelagic

16

16

1

0.379

0.368

0.156

0.653

1.010

0.131

0.084

SSEO

p_pelagic

16

16

2

0.373

0.364

0.145

0.645

1.017

0.131

0.069

SSEO

p_pelagic

16

17

2

0.389

0.380

0.151

0.671

1.020

0.134

0.067

SSEO

p_pelagic

16

18

1

0.415

0.410

0.183

0.675

1.014

0.129

0.039

SSEO

p_pelagic

16

18

2

0.388

0.383

0.159

0.662

1.012

0.132

0.038

SSEO

p_pelagic

16

19

2

0.387

0.378

0.164

0.652

1.011

0.129

0.070

SSEO

p_pelagic

16

2

1

0.382

0.375

0.138

0.675

1.023

0.142

0.049

SSEO

p_pelagic

16

2

2

0.360

0.352

0.122

0.651

1.025

0.140

0.057

SSEO

p_pelagic

16

20

1

0.407

0.397

0.184

0.659

1.013

0.125

0.080

SSEO

p_pelagic

16

20

2

0.388

0.382

0.162

0.655

1.014

0.129

0.046

SSEO

p_pelagic

16

21

1

0.396

0.390

0.173

0.658

1.012

0.127

0.047

SSEO

p_pelagic

16

3

1

0.380

0.370

0.140

0.665

1.022

0.140

0.072

SSEO

p_pelagic

16

3

2

0.358

0.352

0.124

0.658

1.023

0.141

0.043

SSEO

p_dsr

16

31

1

0.407

0.406

0.376

0.437

1.430

0.016

0.061

SSEO

p_slope

16

36

1

0.061

0.062

0.042

0.078

1.015

0.009

-0.113

SSEO

p_pelagic

16

4

1

0.383

0.376

0.137

0.677

1.016

0.142

0.049

SSEO

p_pelagic

16

4

2

0.362

0.353

0.126

0.647

1.024

0.138

0.065

SSEO

p_pelagic

16

41

1

0.794

0.794

0.786

0.801

1.097

0.004

0.000

SSEO

p_yellow

16

41

1

0.430

0.430

0.410

0.451

1.036

0.011

0.000

SSEO

p_dsr

16

41

1

0.488

0.481

0.449

0.538

3.157

0.026

0.273

SSEO

p_slope

16

41

1

0.115

0.124

0.072

0.147

4.760

0.024

-0.374

SSEO

p_pelagic

16

5

1

0.378

0.371

0.143

0.660

1.015

0.138

0.051

SSEO

p_pelagic

16

5

2

0.358

0.350

0.124

0.639

1.029

0.139

0.058

SSEO

p_pelagic

16

6

1

0.385

0.380

0.140

0.669

1.020

0.142

0.035

SSEO

p_pelagic

16

6

2

0.358

0.350

0.118

0.653

1.024

0.139

0.057

SSEO

p_pelagic

16

7

1

0.379

0.373

0.140

0.656

1.019

0.138

0.043

SSEO

p_pelagic

16

7

2

0.365

0.357

0.129

0.654

1.020

0.138

0.058

SSEO

p_pelagic

16

8

1

0.382

0.376

0.140

0.667

1.019

0.139

0.043

SSEO

p_pelagic

16

8

2

0.363

0.353

0.129

0.637

1.020

0.136

0.073

SSEO

p_pelagic

16

9

1

0.384

0.379

0.146

0.666

1.026

0.139

0.036

SSEO

p_pelagic

16

9

2

0.361

0.354

0.129

0.637

1.019

0.136

0.052

SSEO

p_pelagic

3

1

2

0.189

0.178

0.063

0.395

1.018

0.085

0.130

PWSI

p_pelagic

3

10

1

0.549

0.553

0.285

0.785

1.011

0.130

-0.031

PWSI

p_pelagic

3

11

1

0.546

0.552

0.286

0.788

1.012

0.132

-0.045

PWSI

p_pelagic

3

11

2

0.189

0.177

0.064

0.389

1.011

0.084

0.143

PWSI

p_pelagic

3

12

2

0.188

0.176

0.064

0.380

1.015

0.084

0.143

PWSI

p_pelagic

3

13

1

0.550

0.554

0.283

0.791

1.012

0.132

-0.030

PWSI

p_pelagic

3

14

1

0.553

0.560

0.298

0.783

1.011

0.128

-0.055

PWSI

p_pelagic

3

14

2

0.196

0.184

0.068

0.402

1.015

0.086

0.139

PWSI

p_pelagic

3

15

1

0.549

0.551

0.290

0.787

1.013

0.130

-0.015

PWSI

p_pelagic

3

16

1

0.548

0.551

0.290

0.780

1.018

0.128

-0.023

PWSI

p_pelagic

3

16

2

0.188

0.175

0.063

0.392

1.011

0.084

0.155

PWSI

p_pelagic

3

17

2

0.188

0.175

0.065

0.384

1.021

0.084

0.154

PWSI

p_pelagic

3

18

1

0.552

0.556

0.289

0.789

1.015

0.128

-0.031

PWSI

p_pelagic

3

19

2

0.191

0.178

0.067

0.381

1.020

0.083

0.156

PWSI

p_pelagic

3

2

1

0.545

0.549

0.284

0.785

1.022

0.131

-0.030

PWSI

p_pelagic

3

3

1

0.553

0.561

0.282

0.796

1.013

0.132

-0.061

PWSI

p_pelagic

3

3

2

0.189

0.178

0.066

0.387

1.014

0.082

0.134

PWSI

p_pelagic

3

4

1

0.550

0.553

0.292

0.796

1.010

0.131

-0.023

PWSI

p_pelagic

3

4

2

0.187

0.172

0.065

0.388

1.019

0.085

0.176

PWSI

p_pelagic

3

5

1

0.548

0.552

0.287

0.778

1.019

0.131

-0.031

PWSI

p_pelagic

3

5

2

0.191

0.177

0.066

0.392

1.013

0.084

0.167

PWSI

p_pelagic

3

6

1

0.542

0.547

0.275

0.778

1.019

0.131

-0.038

PWSI

p_pelagic

3

6

2

0.191

0.180

0.065

0.385

1.011

0.084

0.131

PWSI

p_pelagic

3

7

1

0.550

0.558

0.280

0.787

1.017

0.133

-0.060

PWSI

p_pelagic

3

7

2

0.189

0.176

0.065

0.382

1.018

0.083

0.156

PWSI

p_pelagic

3

8

1

0.548

0.550

0.293

0.779

1.019

0.130

-0.015

PWSI

p_pelagic

3

8

2

0.188

0.176

0.065

0.385

1.014

0.083

0.145

PWSI

p_pelagic

3

9

1

0.546

0.550

0.294

0.784

1.010

0.128

-0.031

PWSI

p_pelagic

3

9

2

0.191

0.178

0.064

0.394

1.020

0.086

0.151

PWSI

p_pelagic

4

1

1

0.558

0.564

0.310

0.792

1.019

0.129

-0.047

PWSO

p_pelagic

4

10

1

0.558

0.559

0.301

0.795

1.016

0.128

-0.008

PWSO

p_pelagic

4

10

2

0.553

0.559

0.288

0.795

1.011

0.131

-0.046

PWSO

p_pelagic

4

11

1

0.562

0.566

0.310

0.796

1.024

0.127

-0.032

PWSO

p_pelagic

4

11

2

0.552

0.557

0.288

0.789

1.011

0.130

-0.038

PWSO

p_pelagic

4

12

1

0.561

0.564

0.303

0.796

1.017

0.130

-0.023

PWSO

p_pelagic

4

12

2

0.554

0.557

0.286

0.799

1.010

0.131

-0.023

PWSO

p_pelagic

4

13

1

0.559

0.564

0.295

0.798

1.013

0.130

-0.038

PWSO

p_pelagic

4

13

2

0.557

0.560

0.292

0.800

1.017

0.133

-0.023

PWSO

p_pelagic

4

14

2

0.552

0.559

0.281

0.794

1.015

0.133

-0.053

PWSO

p_pelagic

4

15

1

0.553

0.560

0.280

0.794

1.014

0.131

-0.053

PWSO

p_pelagic

4

15

2

0.551

0.555

0.295

0.785

1.014

0.128

-0.031

PWSO

p_pelagic

4

17

1

0.555

0.562

0.302

0.790

1.013

0.128

-0.055

PWSO

p_pelagic

4

17

2

0.556

0.562

0.290

0.795

1.012

0.131

-0.046

PWSO

p_pelagic

4

18

1

0.555

0.559

0.304

0.788

1.021

0.127

-0.031

PWSO

p_pelagic

4

18

2

0.557

0.563

0.298

0.785

1.011

0.129

-0.046

PWSO

p_pelagic

4

19

2

0.552

0.556

0.299

0.790

1.012

0.129

-0.031

PWSO

p_pelagic

4

2

1

0.557

0.562

0.299

0.785

1.013

0.128

-0.039

PWSO

p_pelagic

4

2

2

0.553

0.557

0.288

0.800

1.015

0.133

-0.030

PWSO

p_pelagic

4

20

2

0.467

0.463

0.243

0.707

1.016

0.121

0.033

PWSO

p_pelagic

4

3

1

0.562

0.568

0.299

0.804

1.014

0.131

-0.046

PWSO

p_pelagic

4

4

1

0.560

0.563

0.288

0.797

1.016

0.132

-0.023

PWSO

p_pelagic

4

4

2

0.555

0.560

0.289

0.791

1.012

0.132

-0.038

PWSO

p_pelagic

4

5

2

0.552

0.555

0.290

0.788

1.011

0.130

-0.023

PWSO

p_pelagic

4

6

1

0.561

0.566

0.303

0.797

1.012

0.131

-0.038

PWSO

p_pelagic

4

7

1

0.556

0.561

0.286

0.799

1.013

0.133

-0.038

PWSO

p_pelagic

4

7

2

0.554

0.555

0.281

0.799

1.015

0.133

-0.008

PWSO

p_pelagic

4

8

1

0.561

0.566

0.301

0.790

1.023

0.126

-0.040

PWSO

p_pelagic

4

9

2

0.552

0.559

0.283

0.790

1.012

0.131

-0.053

PWSO

p_black

8

40

1

0.483

0.416

0.341

0.963

1.046

0.187

0.358

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta2_pH

10

1

1.772

0.890

0.275

9.416

1.117

2.296

0.384

northeast

beta0_pH

11

1

0.109

0.100

-0.473

0.674

1.285

0.310

0.029

CSEO

beta0_pH

11

4

0.846

0.881

-0.176

1.658

1.146

0.457

-0.077

CSEO

beta1_pH

11

1

3.281

3.252

2.495

4.299

1.150

0.458

0.063

CSEO

beta1_pH

11

4

1.959

1.930

0.981

3.056

1.119

0.518

0.056

CSEO

beta2_pH

11

1

0.446

0.365

0.196

1.160

1.211

0.277

0.292

CSEO

beta2_pH

11

4

-5.578

-4.095

-16.538

-0.739

1.361

4.339

-0.342

CSEO

beta3_pH

11

1

31.377

31.398

29.309

33.599

1.191

1.103

-0.019

CSEO

beta2_pH

12

4

-5.625

-3.846

-16.621

-1.116

1.469

4.367

-0.407

EWYKT

beta2_pH

13

4

-5.524

-3.905

-16.301

-0.893

1.356

4.287

-0.378

NSEI

beta0_pelagic

13

-0.592

-0.490

-1.447

0.065

1.176

0.446

-0.228

NSEI

beta2_pelagic

13

0.292

0.210

0.105

0.794

1.291

0.411

0.199

NSEI

beta3_pelagic

13

32.673

32.419

26.015

40.820

1.131

3.836

0.066

NSEI

beta1_yellow

13

1.124

0.749

0.018

5.374

1.104

1.272

0.295

NSEI

beta2_pH

14

4

-5.656

-4.173

-16.763

-1.074

1.339

4.236

-0.350

NSEO

beta2_pelagic

14

0.994

0.583

0.193

5.094

1.126

1.337

0.307

NSEO

beta2_yellow

14

-6.214

-4.818

-19.772

-0.319

1.207

5.322

-0.262

NSEO

beta0_pH

15

4

0.507

0.576

-0.474

1.251

1.261

0.433

-0.159

SSEI

beta1_pH

15

4

1.525

1.470

0.667

2.550

1.253

0.475

0.116

SSEI

beta2_pH

15

4

-5.492

-4.069

-16.510

-0.886

1.510

4.268

-0.333

SSEI

beta0_pH

16

4

0.910

0.919

-0.253

2.077

1.202

0.579

-0.016

SSEO

beta2_pH

16

4

-5.878

-4.497

-16.656

-1.368

1.440

4.150

-0.333

SSEO

beta3_pH

16

4

41.424

41.509

40.271

42.528

2.365

0.624

-0.136

SSEO

beta1_pelagic

16

1.742

1.606

0.806

3.177

1.104

0.655

0.208

SSEO

beta2_pelagic

16

0.690

0.323

0.108

3.989

1.124

1.059

0.347

SSEO

mu_beta1_pH

2

3

0.002

0.000

0.000

0.016

1.386

0.005

0.398

NG

mu_beta2_pH

2

1

1.833

1.043

0.201

8.602

1.180

2.238

0.353

NG

tau_beta2_pH

2

3

0.414

0.147

0.043

2.171

1.142

1.422

0.188

NG

mu_beta0_pH

3

4

0.695

0.722

-0.266

1.510

1.184

0.450

-0.060

PWSI

mu_beta1_pH

3

3

0.007

0.000

0.000

0.075

1.329

0.047

0.148

PWSI

tau_beta1_pH

3

3

0.035

0.025

0.011

0.108

1.277

0.040

0.247

PWSI

mu_beta2_pH

3

4

-5.250

-3.727

-16.371

-0.518

1.465

4.201

-0.363

PWSI

beta0_pelagic

3

0.203

0.258

-0.367

0.569

1.103

0.246

-0.224

PWSI

beta1_pelagic

3

0.759

0.702

0.303

1.647

1.151

0.328

0.174

PWSI

beta3_pelagic

4

26.350

26.309

23.892

30.942

1.169

1.593

0.026

PWSO

beta2_pH

5

1

2.629

1.777

0.308

10.605

1.103

2.700

0.316

BSAI

beta2_pH

6

1

1.635

0.573

0.148

9.610

1.146

2.482

0.428

SOKO2SAP

beta1_pH

8

1

2.172

2.024

1.045

4.184

1.263

0.816

0.181

afognak

beta2_pH

8

1

1.648

0.568

0.161

8.652

1.238

2.274

0.475

afognak

beta3_pH

8

1

35.363

35.539

29.519

42.100

1.372

3.845

-0.046

afognak

beta1_pH

9

1

2.111

1.964

1.171

4.027

1.127

0.703

0.209

eastside

beta2_pH

9

1

1.317

0.517

0.159

9.376

1.146

2.214

0.361

eastside

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

699.00

231.00

1,131.00

340.00

Prop. of total

0.75

0.25

0.77

0.23

Prop. median less than 1

0.24

0.21

0.30

0.43

Prop. median less than 10

0.34

0.50

0.48

0.73

Prop. median less than 50

0.45

0.69

0.61

0.79

Median of the median values

116.77

9.48

13.13

1.88

Mean of the median values

890.21

536.38

376.91

248.44

Mean skew of posteriors

0.23

0.28

0.27

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

11.00

8.00

59.00

44.00

Prop. of total

0.58

0.42

0.57

0.43

Prop. median less than 1

0.91

0.75

0.83

0.70

Prop. median less than 10

0.91

0.88

0.93

0.89

Prop. median less than 50

0.91

1.00

0.95

1.00

Median of the median values

0.00

0.12

0.00

0.29

Mean of the median values

234.90

4.91

32.24

2.39

Mean skew of posteriors

0.16

0.20

0.15

0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pelagic

1

beta0_pH

4

beta1_pelagic

1

beta1_pH

5

beta2_pelagic

3

beta2_pH

11

beta2_yellow

1

beta3_pelagic

2

beta3_pH

3

H_ay

1

H_ayu

1

Hd_ayg

2

Ho_ay

1

Ho_ayg

3

Ho_ayu

8

Hs_ay

2

Hs_ayg

2

Hs_ayu

3

Hy_ay

3

Hy_ayg

1

Hy_ayu

4

mu_beta0_pH

1

mu_beta1_pH

2

mu_beta2_pH

2

p_dsr

2

p_slope

4

pH

13

R_ayg

2

R_ayu

2

Rb_ayg

1

Rb_ayu

1

Rd_ay

7

Rd_ayg

8

Rd_ayu

2

re_dsr

2

re_pelagic

8

re_pH

35

re_slope

2

Ro_ay

16

Ro_ayg

13

Ro_ayu

46

Rp_ayg

1

Rp_ayu

1

Rs_ay

8

Rs_ayg

10

Rs_ayu

15

Ry_ay

16

Ry_ayg

4

Ry_ayu

25

tau_beta1_pH

1

tau_beta2_pH

1

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.016 0.071 -0.147 -0.022 0.129
mu_bc_H[2] 0.072 0.053 -0.026 0.070 0.182
mu_bc_H[3] -0.277 0.071 -0.412 -0.277 -0.138
mu_bc_H[4] -0.927 0.184 -1.297 -0.925 -0.571
mu_bc_H[5] 1.373 1.148 0.144 1.108 4.342
mu_bc_H[6] -2.427 0.333 -3.063 -2.428 -1.765
mu_bc_H[7] -0.458 0.105 -0.673 -0.456 -0.255
mu_bc_H[8] 0.253 0.345 -0.319 0.219 1.038
mu_bc_H[9] -0.256 0.123 -0.490 -0.254 -0.004
mu_bc_H[10] 0.061 0.066 -0.067 0.060 0.196
mu_bc_H[11] -0.124 0.037 -0.198 -0.124 -0.050
mu_bc_H[12] -0.255 0.108 -0.482 -0.248 -0.060
mu_bc_H[13] -0.151 0.070 -0.284 -0.152 -0.014
mu_bc_H[14] -0.306 0.090 -0.494 -0.304 -0.137
mu_bc_H[15] -0.340 0.046 -0.429 -0.341 -0.249
mu_bc_H[16] -0.168 0.374 -0.810 -0.194 0.619
mu_bc_R[1] 1.046 0.125 0.797 1.048 1.288
mu_bc_R[2] 1.015 0.077 0.854 1.018 1.164
mu_bc_R[3] 0.238 0.094 0.050 0.241 0.416
mu_bc_R[4] 0.674 0.196 0.272 0.681 1.046
mu_bc_R[5] 1.702 0.376 0.974 1.707 2.428
mu_bc_R[6] -1.436 0.352 -2.103 -1.446 -0.728
mu_bc_R[7] 0.503 0.170 0.165 0.506 0.840
mu_bc_R[8] 0.658 0.150 0.367 0.657 0.954
mu_bc_R[9] 0.403 0.166 0.060 0.408 0.718
mu_bc_R[10] 0.908 0.100 0.708 0.909 1.098
mu_bc_R[11] 1.107 0.073 0.965 1.106 1.255
mu_bc_R[12] 0.875 0.165 0.551 0.875 1.191
mu_bc_R[13] 1.043 0.090 0.857 1.049 1.209
mu_bc_R[14] 0.870 0.119 0.634 0.869 1.096
mu_bc_R[15] 0.803 0.096 0.615 0.804 0.994
mu_bc_R[16] 1.360 0.112 1.137 1.364 1.571
tau_pH[1] 2.414 0.181 2.072 2.408 2.776
tau_pH[2] 1.635 0.154 1.351 1.629 1.954
tau_pH[3] 1.198 0.113 0.992 1.194 1.432
tau_pH[4] 1.072 0.141 0.825 1.067 1.369
tau_pH[5] 0.445 0.074 0.312 0.440 0.604
beta0_pH[1,1] 0.528 0.209 0.027 0.550 0.883
beta0_pH[2,1] 1.411 0.205 0.876 1.443 1.730
beta0_pH[3,1] 1.333 0.262 0.709 1.378 1.733
beta0_pH[4,1] 1.542 0.256 0.913 1.567 1.972
beta0_pH[5,1] -0.698 0.330 -1.401 -0.675 -0.127
beta0_pH[6,1] -0.399 0.330 -1.142 -0.353 0.134
beta0_pH[7,1] 0.758 0.011 0.738 0.758 0.780
beta0_pH[8,1] -0.484 0.273 -1.118 -0.469 -0.039
beta0_pH[9,1] -0.238 0.296 -0.854 -0.226 0.334
beta0_pH[10,1] 0.270 0.184 -0.113 0.277 0.615
beta0_pH[11,1] 0.109 0.310 -0.473 0.100 0.674
beta0_pH[12,1] 0.624 0.188 0.232 0.627 0.981
beta0_pH[13,1] -0.672 0.147 -0.985 -0.661 -0.406
beta0_pH[14,1] 0.040 0.178 -0.325 0.049 0.370
beta0_pH[15,1] 0.070 0.182 -0.335 0.092 0.386
beta0_pH[16,1] -0.840 0.184 -1.190 -0.840 -0.487
beta0_pH[1,2] 2.562 0.085 2.403 2.560 2.737
beta0_pH[2,2] 3.079 0.022 3.036 3.079 3.124
beta0_pH[3,2] 3.624 0.042 3.541 3.624 3.707
beta0_pH[4,2] 2.935 0.019 2.899 2.936 2.972
beta0_pH[5,2] 4.541 1.473 2.694 4.262 8.303
beta0_pH[6,2] 3.320 0.157 3.022 3.318 3.640
beta0_pH[7,2] 2.033 0.052 1.937 2.032 2.137
beta0_pH[8,2] 2.820 0.065 2.693 2.820 2.951
beta0_pH[9,2] 3.947 0.205 3.557 3.944 4.365
beta0_pH[10,2] 3.992 0.127 3.754 3.992 4.244
beta0_pH[11,2] 1.885 0.009 1.868 1.885 1.903
beta0_pH[12,2] 1.793 0.069 1.666 1.792 1.932
beta0_pH[13,2] 2.497 0.027 2.446 2.498 2.548
beta0_pH[14,2] 1.803 0.023 1.757 1.803 1.849
beta0_pH[15,2] 2.544 0.017 2.512 2.545 2.579
beta0_pH[16,2] 2.765 0.025 2.717 2.765 2.814
beta0_pH[1,3] 1.111 0.409 0.166 1.187 1.682
beta0_pH[2,3] 2.126 0.017 2.094 2.126 2.161
beta0_pH[3,3] 2.691 0.024 2.645 2.691 2.738
beta0_pH[4,3] 2.981 0.034 2.914 2.980 3.050
beta0_pH[5,3] 3.315 2.205 0.888 2.752 9.246
beta0_pH[6,3] 1.355 0.370 0.740 1.330 2.172
beta0_pH[7,3] 0.861 0.049 0.764 0.860 0.960
beta0_pH[8,3] 0.341 0.222 -0.109 0.347 0.754
beta0_pH[9,3] -2.070 1.039 -4.299 -1.972 -0.306
beta0_pH[10,3] -0.405 0.840 -2.387 -0.316 0.951
beta0_pH[11,3] 1.560 0.546 0.480 1.567 2.627
beta0_pH[12,3] 0.990 0.791 -0.753 1.039 2.368
beta0_pH[13,3] 1.457 0.521 0.392 1.455 2.439
beta0_pH[14,3] 0.716 0.491 -0.324 0.749 1.609
beta0_pH[15,3] 0.975 0.486 -0.010 0.977 1.979
beta0_pH[16,3] 1.186 0.642 -0.205 1.224 2.388
beta0_pH[11,4] 0.846 0.457 -0.176 0.881 1.658
beta0_pH[12,4] 0.846 0.654 -0.466 0.836 2.127
beta0_pH[13,4] 0.648 0.462 -0.357 0.700 1.430
beta0_pH[14,4] 0.411 0.436 -0.516 0.458 1.112
beta0_pH[15,4] 0.507 0.433 -0.474 0.576 1.251
beta0_pH[16,4] 0.910 0.579 -0.253 0.919 2.077
beta0_pH[11,5] 2.962 0.145 2.688 2.953 3.254
beta0_pH[12,5] -0.906 0.496 -1.933 -0.892 0.056
beta0_pH[13,5] 4.870 0.405 4.098 4.855 5.696
beta0_pH[14,5] 3.871 0.364 3.216 3.856 4.635
beta0_pH[15,5] 2.286 0.121 2.061 2.281 2.536
beta0_pH[16,5] 0.259 0.064 0.163 0.247 0.408
beta1_pH[1,1] 2.615 0.564 1.774 2.521 3.922
beta1_pH[2,1] 1.577 0.361 1.001 1.529 2.465
beta1_pH[3,1] 1.901 0.487 1.159 1.819 3.235
beta1_pH[4,1] 2.037 0.618 1.182 1.916 3.775
beta1_pH[5,1] 2.203 0.448 1.426 2.177 3.133
beta1_pH[6,1] 1.918 0.586 1.030 1.830 3.341
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.172 0.816 1.045 2.024 4.184
beta1_pH[9,1] 2.111 0.703 1.171 1.964 4.027
beta1_pH[10,1] 2.156 0.382 1.483 2.124 3.005
beta1_pH[11,1] 3.281 0.458 2.495 3.252 4.299
beta1_pH[12,1] 2.901 0.279 2.359 2.901 3.460
beta1_pH[13,1] 3.445 0.235 3.024 3.434 3.929
beta1_pH[14,1] 2.797 0.307 2.229 2.787 3.425
beta1_pH[15,1] 2.380 0.272 1.917 2.351 2.973
beta1_pH[16,1] 3.981 0.256 3.483 3.986 4.436
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 2.025 1.342 0.052 1.824 6.085
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.616 2.445 0.030 3.325 9.914
beta1_pH[9,3] 7.121 2.568 3.091 6.757 13.111
beta1_pH[10,3] 6.256 2.661 2.580 5.746 12.610
beta1_pH[11,3] 1.654 0.636 0.345 1.679 2.838
beta1_pH[12,3] 3.256 0.804 1.876 3.177 5.037
beta1_pH[13,3] 1.476 0.588 0.317 1.482 2.651
beta1_pH[14,3] 2.035 0.563 0.974 2.012 3.199
beta1_pH[15,3] 1.796 0.578 0.592 1.794 2.927
beta1_pH[16,3] 3.723 0.685 2.420 3.709 5.130
beta1_pH[11,4] 1.959 0.518 0.981 1.930 3.056
beta1_pH[12,4] 3.222 0.679 1.918 3.218 4.625
beta1_pH[13,4] 1.386 0.483 0.544 1.336 2.437
beta1_pH[14,4] 1.960 0.498 1.120 1.919 3.008
beta1_pH[15,4] 1.525 0.475 0.667 1.470 2.550
beta1_pH[16,4] 3.537 0.639 2.155 3.566 4.745
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.233 0.868 0.283 0.918 3.367
beta2_pH[2,1] 1.605 0.919 0.256 1.467 3.419
beta2_pH[3,1] 1.255 0.845 0.152 1.052 2.919
beta2_pH[4,1] 1.042 0.784 0.169 0.774 2.884
beta2_pH[5,1] 2.629 2.700 0.308 1.777 10.605
beta2_pH[6,1] 1.635 2.482 0.148 0.573 9.610
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 1.648 2.274 0.161 0.568 8.652
beta2_pH[9,1] 1.317 2.214 0.159 0.517 9.376
beta2_pH[10,1] 1.772 2.296 0.275 0.890 9.416
beta2_pH[11,1] 0.446 0.277 0.196 0.365 1.160
beta2_pH[12,1] 1.599 0.814 0.614 1.366 3.661
beta2_pH[13,1] 1.088 0.492 0.571 0.956 2.516
beta2_pH[14,1] 1.135 0.639 0.458 0.941 3.079
beta2_pH[15,1] 1.099 0.665 0.365 0.921 3.044
beta2_pH[16,1] 1.107 0.371 0.651 1.028 2.115
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.670 6.647 0.120 5.165 22.091
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 1.567 1.552 0.098 1.096 5.994
beta2_pH[9,3] 0.344 0.687 0.092 0.207 1.563
beta2_pH[10,3] 0.499 0.917 0.108 0.278 2.537
beta2_pH[11,3] -7.271 5.121 -20.215 -6.023 -0.908
beta2_pH[12,3] -7.784 5.028 -20.389 -6.665 -1.356
beta2_pH[13,3] -7.343 5.063 -20.318 -6.062 -1.190
beta2_pH[14,3] -7.332 5.026 -20.243 -5.974 -1.287
beta2_pH[15,3] -7.396 5.088 -20.388 -6.068 -1.202
beta2_pH[16,3] -7.245 5.004 -20.435 -5.682 -1.617
beta2_pH[11,4] -5.578 4.339 -16.538 -4.095 -0.739
beta2_pH[12,4] -5.625 4.367 -16.621 -3.846 -1.116
beta2_pH[13,4] -5.524 4.287 -16.301 -3.905 -0.893
beta2_pH[14,4] -5.656 4.236 -16.763 -4.173 -1.074
beta2_pH[15,4] -5.492 4.268 -16.510 -4.069 -0.886
beta2_pH[16,4] -5.878 4.150 -16.656 -4.497 -1.368
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 34.887 1.217 32.727 34.858 37.536
beta3_pH[2,1] 32.443 1.377 29.663 32.446 35.122
beta3_pH[3,1] 32.846 1.891 29.282 32.900 36.576
beta3_pH[4,1] 32.951 2.226 29.484 32.693 39.147
beta3_pH[5,1] 27.709 1.269 26.181 27.538 30.936
beta3_pH[6,1] 33.348 2.998 27.267 33.127 40.600
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 35.363 3.845 29.519 35.539 42.100
beta3_pH[9,1] 33.300 3.787 27.626 32.558 42.151
beta3_pH[10,1] 32.563 1.348 30.246 32.476 35.621
beta3_pH[11,1] 31.377 1.103 29.309 31.398 33.599
beta3_pH[12,1] 30.767 0.464 29.820 30.798 31.609
beta3_pH[13,1] 31.288 0.487 30.329 31.274 32.241
beta3_pH[14,1] 32.541 0.751 31.253 32.486 34.132
beta3_pH[15,1] 30.977 0.782 29.400 30.977 32.496
beta3_pH[16,1] 30.138 0.352 29.468 30.116 30.869
beta3_pH[1,2] 34.633 5.462 25.534 34.620 43.541
beta3_pH[2,2] 34.421 5.532 25.357 34.389 43.534
beta3_pH[3,2] 30.320 7.146 18.599 30.389 42.286
beta3_pH[4,2] 30.497 7.090 18.738 30.233 42.317
beta3_pH[5,2] 30.439 7.229 18.640 30.139 42.331
beta3_pH[6,2] 30.427 7.161 18.672 30.247 42.467
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.618 3.171 30.846 39.796 43.079
beta3_pH[2,3] 34.496 5.547 25.447 34.464 43.624
beta3_pH[3,3] 30.638 7.320 18.729 30.659 42.459
beta3_pH[4,3] 30.401 7.256 18.584 30.268 42.328
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.565 1.646 36.359 41.738 43.816
beta3_pH[9,3] 36.055 1.794 34.528 35.367 41.267
beta3_pH[10,3] 37.788 2.462 34.665 37.156 43.392
beta3_pH[11,3] 40.379 1.235 37.940 40.381 42.558
beta3_pH[12,3] 41.944 0.802 40.239 42.241 42.863
beta3_pH[13,3] 41.107 0.882 39.166 41.163 42.681
beta3_pH[14,3] 40.412 0.738 38.912 40.437 41.753
beta3_pH[15,3] 40.509 0.819 38.484 40.600 41.837
beta3_pH[16,3] 41.820 0.386 41.023 41.887 42.571
beta3_pH[11,4] 40.576 0.925 38.952 40.531 42.528
beta3_pH[12,4] 41.850 0.748 40.302 42.079 42.850
beta3_pH[13,4] 41.595 0.991 39.273 41.775 42.933
beta3_pH[14,4] 40.437 0.709 39.016 40.453 41.771
beta3_pH[15,4] 41.200 0.956 39.254 41.189 42.836
beta3_pH[16,4] 41.424 0.624 40.271 41.509 42.528
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.264 0.021 0.222 0.264 0.306
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.172 0.007 0.159 0.172 0.186
beta4_pH[4,1] 0.293 0.011 0.271 0.293 0.316
beta4_pH[5,1] 0.426 0.306 0.076 0.394 0.964
beta4_pH[6,1] 0.808 0.498 0.351 0.750 1.499
beta4_pH[7,1] 0.853 0.341 0.349 0.799 1.660
beta4_pH[8,1] 0.161 0.070 0.045 0.155 0.314
beta4_pH[9,1] 0.219 0.087 0.066 0.214 0.404
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.447 0.011 0.425 0.447 0.470
beta4_pH[12,1] 0.642 0.022 0.600 0.642 0.686
beta4_pH[13,1] 0.630 0.014 0.604 0.630 0.656
beta4_pH[14,1] 0.672 0.030 0.615 0.672 0.734
beta4_pH[15,1] 0.798 0.021 0.757 0.797 0.838
beta4_pH[16,1] 1.222 0.041 1.147 1.221 1.306
beta4_pH[1,2] 0.307 0.096 0.135 0.301 0.513
beta4_pH[2,2] 0.514 0.023 0.469 0.513 0.560
beta4_pH[3,2] 0.446 0.012 0.423 0.445 0.470
beta4_pH[4,2] 0.654 0.038 0.580 0.654 0.730
beta4_pH[5,2] 0.750 0.941 0.107 0.539 2.621
beta4_pH[6,2] 0.901 0.643 0.212 0.753 2.505
beta4_pH[7,2] 0.903 0.618 0.353 0.811 1.920
beta4_pH[8,2] 0.846 0.199 0.493 0.835 1.257
beta4_pH[9,2] 1.146 1.017 0.307 0.881 3.577
beta4_pH[10,2] 0.455 0.052 0.360 0.455 0.562
beta4_pH[11,2] 1.269 0.051 1.171 1.268 1.371
beta4_pH[12,2] 0.579 0.109 0.379 0.574 0.815
beta4_pH[13,2] 0.945 0.044 0.861 0.945 1.036
beta4_pH[14,2] 0.928 0.062 0.808 0.927 1.050
beta4_pH[15,2] 1.011 0.026 0.961 1.010 1.062
beta4_pH[16,2] 1.407 0.078 1.257 1.406 1.557
beta4_pH[1,3] 0.286 0.087 0.133 0.283 0.471
beta4_pH[2,3] 0.051 0.017 0.020 0.050 0.087
beta4_pH[3,3] 0.052 0.009 0.034 0.052 0.070
beta4_pH[4,3] 0.172 0.032 0.111 0.172 0.236
beta4_pH[5,3] 0.733 0.833 0.126 0.557 2.548
beta4_pH[6,3] 0.890 0.781 0.203 0.738 2.495
beta4_pH[7,3] 0.873 0.402 0.336 0.805 1.867
beta4_pH[8,3] 0.427 0.202 0.110 0.400 0.906
beta4_pH[9,3] 0.925 0.957 0.160 0.687 2.871
beta4_pH[10,3] 0.062 0.042 0.004 0.054 0.160
beta4_pH[11,3] 0.364 0.015 0.335 0.363 0.395
beta4_pH[12,3] 0.439 0.041 0.362 0.437 0.521
beta4_pH[13,3] 0.838 0.037 0.768 0.837 0.913
beta4_pH[14,3] 0.823 0.067 0.700 0.819 0.960
beta4_pH[15,3] 0.636 0.016 0.603 0.635 0.667
beta4_pH[16,3] 0.635 0.036 0.570 0.634 0.708
beta4_pH[1,4] 0.638 0.360 0.208 0.566 1.486
beta4_pH[2,4] 0.818 1.048 0.114 0.578 2.859
beta4_pH[3,4] 0.834 0.872 0.106 0.587 3.105
beta4_pH[4,4] 0.747 0.502 0.208 0.636 1.907
beta4_pH[5,4] 0.792 0.911 0.109 0.571 2.990
beta4_pH[6,4] 0.902 0.696 0.207 0.747 2.584
beta4_pH[7,4] 0.893 0.463 0.330 0.810 1.979
beta4_pH[8,4] 0.740 0.646 0.143 0.586 2.231
beta4_pH[9,4] 0.778 0.810 0.123 0.579 2.776
beta4_pH[10,4] 1.449 2.946 0.006 0.393 10.461
beta4_pH[11,4] 0.444 0.017 0.412 0.444 0.479
beta4_pH[12,4] 0.559 0.053 0.458 0.559 0.665
beta4_pH[13,4] 0.925 0.036 0.854 0.925 0.996
beta4_pH[14,4] 0.918 0.074 0.781 0.917 1.063
beta4_pH[15,4] 0.713 0.021 0.674 0.713 0.755
beta4_pH[16,4] 0.687 0.042 0.606 0.687 0.769
beta4_pH[1,5] 0.632 0.350 0.207 0.566 1.431
beta4_pH[2,5] 0.808 0.890 0.105 0.589 2.838
beta4_pH[3,5] 0.844 0.852 0.106 0.591 3.114
beta4_pH[4,5] 0.739 0.481 0.204 0.624 1.960
beta4_pH[5,5] 0.767 0.931 0.116 0.566 2.613
beta4_pH[6,5] 0.919 0.900 0.214 0.752 2.631
beta4_pH[7,5] 0.883 0.393 0.348 0.817 1.814
beta4_pH[8,5] 0.757 0.695 0.151 0.592 2.431
beta4_pH[9,5] 0.759 0.845 0.124 0.561 2.629
beta4_pH[10,5] 1.512 3.033 0.008 0.396 11.209
beta4_pH[11,5] 0.602 0.053 0.501 0.601 0.709
beta4_pH[12,5] 0.585 0.167 0.311 0.567 0.973
beta4_pH[13,5] 0.776 0.061 0.665 0.773 0.905
beta4_pH[14,5] 0.840 0.118 0.635 0.833 1.093
beta4_pH[15,5] 1.144 0.071 1.008 1.145 1.288
beta4_pH[16,5] 18.159 3.963 10.518 18.275 24.653
beta0_pelagic[1] 2.268 0.036 2.201 2.267 2.343
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.552
beta0_pelagic[3] 0.203 0.246 -0.367 0.258 0.569
beta0_pelagic[4] 0.252 0.231 -0.266 0.259 0.724
beta0_pelagic[5] 1.447 0.158 1.150 1.445 1.762
beta0_pelagic[6] 1.355 0.061 1.243 1.352 1.479
beta0_pelagic[7] 1.483 0.039 1.412 1.481 1.563
beta0_pelagic[8] 1.674 0.044 1.592 1.673 1.768
beta0_pelagic[9] 2.796 0.066 2.668 2.794 2.932
beta0_pelagic[10] 2.603 0.031 2.545 2.603 2.668
beta0_pelagic[11] -0.107 0.157 -0.455 -0.096 0.143
beta0_pelagic[12] 1.801 0.036 1.737 1.799 1.874
beta0_pelagic[13] -0.592 0.446 -1.447 -0.490 0.065
beta0_pelagic[14] -0.286 0.170 -0.678 -0.275 0.016
beta0_pelagic[15] -0.215 0.037 -0.309 -0.199 -0.181
beta0_pelagic[16] -0.550 0.419 -1.435 -0.464 0.036
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.759 0.328 0.303 0.702 1.647
beta1_pelagic[4] 0.796 0.259 0.286 0.790 1.352
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.116 0.229 0.744 1.098 1.585
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.280 0.671 1.107 2.293 3.417
beta1_pelagic[14] 1.813 0.480 1.121 1.711 3.119
beta1_pelagic[15] 0.121 0.187 0.001 0.025 0.661
beta1_pelagic[16] 1.742 0.655 0.806 1.606 3.177
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.429 5.981 0.125 4.761 20.956
beta2_pelagic[4] 7.776 6.052 0.409 6.607 22.088
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.939 1.541 0.345 1.469 6.068
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.292 0.411 0.105 0.210 0.794
beta2_pelagic[14] 0.994 1.337 0.193 0.583 5.094
beta2_pelagic[15] 2.715 1.988 0.187 2.286 7.684
beta2_pelagic[16] 0.690 1.059 0.108 0.323 3.989
beta3_pelagic[1] 30.004 4.078 23.314 29.922 36.675
beta3_pelagic[2] 29.976 4.008 23.376 29.911 36.576
beta3_pelagic[3] 28.018 2.740 23.491 28.372 32.859
beta3_pelagic[4] 26.350 1.593 23.892 26.309 30.942
beta3_pelagic[5] 29.645 6.667 18.628 29.653 40.407
beta3_pelagic[6] 29.608 6.627 18.529 29.755 40.484
beta3_pelagic[7] 29.217 6.614 18.555 29.059 40.441
beta3_pelagic[8] 29.580 6.613 18.566 29.735 40.448
beta3_pelagic[9] 29.533 6.641 18.545 29.673 40.382
beta3_pelagic[10] 29.660 6.587 18.658 29.633 40.460
beta3_pelagic[11] 30.338 1.140 28.322 30.242 32.971
beta3_pelagic[12] 32.327 5.447 23.538 32.227 41.543
beta3_pelagic[13] 32.673 3.836 26.015 32.419 40.820
beta3_pelagic[14] 34.291 1.841 31.478 34.130 38.726
beta3_pelagic[15] 34.676 5.693 23.706 35.764 41.744
beta3_pelagic[16] 31.207 3.000 25.637 31.017 38.132
beta0_yellow[1] -0.483 0.078 -0.638 -0.481 -0.331
beta0_yellow[2] 0.544 0.075 0.386 0.549 0.676
beta0_yellow[3] -0.215 0.129 -0.480 -0.215 0.013
beta0_yellow[4] 0.887 0.301 -0.030 0.971 1.197
beta0_yellow[5] 0.257 0.338 -0.452 0.290 0.848
beta0_yellow[6] 0.817 0.106 0.610 0.816 1.025
beta0_yellow[7] 0.998 0.094 0.814 0.998 1.187
beta0_yellow[8] 1.021 0.093 0.838 1.022 1.203
beta0_yellow[9] 0.464 0.099 0.272 0.462 0.659
beta0_yellow[10] 0.542 0.071 0.400 0.541 0.681
beta0_yellow[11] -0.185 0.125 -0.470 -0.171 0.024
beta0_yellow[12] -1.085 0.096 -1.276 -1.082 -0.905
beta0_yellow[13] -1.351 0.177 -1.744 -1.334 -1.058
beta0_yellow[14] -0.246 0.163 -0.584 -0.228 -0.003
beta0_yellow[15] -1.241 0.120 -1.506 -1.229 -1.036
beta0_yellow[16] -0.251 0.092 -0.433 -0.251 -0.068
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.016 0.235 0.612 1.008 1.477
beta1_yellow[3] 0.471 0.246 0.019 0.479 0.924
beta1_yellow[4] 1.299 0.601 0.609 1.163 3.370
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.231 0.337 0.001 0.050 1.135
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 1.124 1.272 0.018 0.749 5.374
beta1_yellow[14] 0.683 1.054 0.013 0.376 4.295
beta1_yellow[15] 0.145 0.201 0.011 0.067 0.632
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.838 6.052 -22.488 -6.430 -0.534
beta2_yellow[3] -7.552 5.802 -21.511 -6.183 -0.388
beta2_yellow[4] -5.960 5.926 -20.698 -4.139 -0.108
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -8.360 6.570 -25.893 -6.873 -0.359
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -6.550 5.985 -21.860 -4.721 -0.308
beta2_yellow[14] -6.214 5.322 -19.772 -4.818 -0.319
beta2_yellow[15] -6.349 4.656 -17.318 -5.443 -0.320
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.794 1.164 27.233 28.643 31.761
beta3_yellow[3] 32.760 3.277 23.919 32.692 39.664
beta3_yellow[4] 30.173 3.327 25.067 28.774 35.938
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 34.919 3.699 29.517 34.161 42.474
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 33.755 2.918 29.210 33.732 41.115
beta3_yellow[14] 34.050 3.590 29.189 33.628 42.844
beta3_yellow[15] 36.963 4.010 30.301 36.958 43.665
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.011 0.077 -0.137 0.011 0.159
beta0_black[2] 1.856 0.032 1.793 1.856 1.917
beta0_black[3] 1.238 0.037 1.166 1.238 1.310
beta0_black[4] 2.425 0.047 2.330 2.424 2.518
beta0_black[5] 5.192 2.466 1.774 4.626 11.212
beta0_black[6] 5.225 2.210 2.604 4.644 10.813
beta0_black[7] 4.135 2.214 1.605 3.518 10.295
beta0_black[8] 0.890 0.222 0.478 0.875 1.346
beta0_black[9] 2.816 0.280 2.280 2.808 3.382
beta0_black[10] 1.288 0.050 1.190 1.289 1.388
beta0_black[11] 2.977 0.052 2.875 2.977 3.078
beta0_black[12] 4.914 0.193 4.531 4.914 5.284
beta0_black[13] 0.451 0.333 0.017 0.386 1.226
beta0_black[14] 2.853 0.107 2.640 2.855 3.058
beta0_black[15] 0.722 0.051 0.619 0.723 0.822
beta0_black[16] 3.771 0.073 3.628 3.770 3.918
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.488 1.749 -6.781 -2.089 -0.278
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.324 3.252 27.496 38.068 40.950
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.326 0.092 -0.504 -0.326 -0.149
beta4_black[2] 0.256 0.052 0.153 0.256 0.358
beta4_black[3] -0.718 0.064 -0.849 -0.717 -0.596
beta4_black[4] 0.628 0.128 0.384 0.625 0.879
beta4_black[5] 0.795 1.642 -1.206 0.500 4.347
beta4_black[6] 0.838 1.466 -0.874 0.533 4.403
beta4_black[7] 0.767 1.458 -0.960 0.489 3.951
beta4_black[8] 0.081 0.293 -0.550 0.098 0.635
beta4_black[9] 1.026 0.804 -0.100 0.857 3.050
beta4_black[10] 0.074 0.067 -0.060 0.074 0.203
beta4_black[11] -0.610 0.064 -0.735 -0.610 -0.485
beta4_black[12] 1.227 0.290 0.692 1.215 1.829
beta4_black[13] -1.002 0.076 -1.154 -1.002 -0.855
beta4_black[14] 0.224 0.179 -0.106 0.218 0.586
beta4_black[15] 0.002 0.047 -0.089 0.002 0.093
beta4_black[16] -0.414 0.118 -0.645 -0.415 -0.180
beta0_dsr[11] -0.329 0.009 -0.347 -0.329 -0.311
beta0_dsr[12] 1.409 0.045 1.323 1.408 1.494
beta0_dsr[13] 0.154 0.021 0.114 0.154 0.194
beta0_dsr[14] -0.127 0.017 -0.160 -0.127 -0.094
beta0_dsr[15] 0.205 0.014 0.179 0.205 0.232
beta0_dsr[16] 0.161 0.016 0.130 0.161 0.191
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.544 0.035 0.476 0.544 0.612
beta4_dsr[12] 0.802 0.230 0.368 0.800 1.260
beta4_dsr[13] -0.077 0.039 -0.154 -0.076 -0.003
beta4_dsr[14] -0.208 0.072 -0.350 -0.207 -0.069
beta4_dsr[15] 0.217 0.022 0.175 0.217 0.259
beta4_dsr[16] -0.051 0.046 -0.141 -0.050 0.042
beta0_slope[11] -2.208 0.021 -2.249 -2.208 -2.168
beta0_slope[12] -4.991 0.192 -5.377 -4.987 -4.625
beta0_slope[13] -1.501 0.034 -1.568 -1.501 -1.432
beta0_slope[14] -2.711 0.052 -2.817 -2.710 -2.612
beta0_slope[15] -1.591 0.022 -1.635 -1.592 -1.548
beta0_slope[16] -2.659 0.040 -2.736 -2.659 -2.578
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.335 0.075 -0.486 -0.334 -0.187
beta4_slope[12] -4.684 0.774 -6.281 -4.641 -3.334
beta4_slope[13] 0.327 0.054 0.220 0.329 0.430
beta4_slope[14] -0.159 0.148 -0.443 -0.160 0.133
beta4_slope[15] -0.361 0.034 -0.427 -0.361 -0.296
beta4_slope[16] -0.133 0.103 -0.334 -0.128 0.066
beta5_slope[11] 3.068 0.107 2.865 3.068 3.281
beta5_slope[12] 2.001 0.380 1.297 1.983 2.796
beta5_slope[13] 0.880 0.078 0.726 0.880 1.030
beta5_slope[14] 3.760 0.355 3.102 3.751 4.477
beta5_slope[15] 1.308 0.072 1.173 1.308 1.458
beta5_slope[16] 2.722 0.228 2.307 2.710 3.225
tau_comp[1] 3.781 0.298 3.228 3.772 4.394
tau_comp[2] 2.855 0.258 2.366 2.843 3.401
tau_comp[3] 0.872 0.074 0.733 0.870 1.024
tau_comp[4] 1.780 0.279 1.298 1.755 2.387
tau_comp[5] 1.275 0.184 0.948 1.263 1.671
sigma_H[1] 0.203 0.049 0.115 0.201 0.308
sigma_H[2] 0.174 0.028 0.126 0.172 0.236
sigma_H[3] 0.190 0.041 0.118 0.188 0.276
sigma_H[4] 0.460 0.080 0.329 0.450 0.637
sigma_H[5] 0.964 0.206 0.589 0.952 1.401
sigma_H[6] 0.533 0.192 0.182 0.521 0.915
sigma_H[7] 0.310 0.064 0.212 0.300 0.458
sigma_H[8] 0.428 0.089 0.297 0.417 0.638
sigma_H[9] 0.512 0.115 0.327 0.498 0.775
sigma_H[10] 0.210 0.038 0.144 0.207 0.293
sigma_H[11] 0.266 0.044 0.193 0.261 0.364
sigma_H[12] 0.381 0.147 0.198 0.334 0.720
sigma_H[13] 0.219 0.036 0.155 0.215 0.298
sigma_H[14] 0.497 0.089 0.338 0.493 0.685
sigma_H[15] 0.229 0.037 0.168 0.226 0.312
sigma_H[16] 0.213 0.042 0.145 0.209 0.304
lambda_H[1] 2.094 3.146 0.073 1.012 11.263
lambda_H[2] 5.177 5.128 0.481 3.644 18.879
lambda_H[3] 5.529 7.883 0.288 2.954 27.887
lambda_H[4] 0.006 0.004 0.001 0.005 0.017
lambda_H[5] 3.255 8.677 0.026 0.728 26.552
lambda_H[6] 7.128 15.266 0.009 0.368 51.579
lambda_H[7] 0.012 0.008 0.002 0.010 0.034
lambda_H[8] 8.015 10.527 0.079 4.267 36.796
lambda_H[9] 0.015 0.010 0.003 0.013 0.041
lambda_H[10] 0.219 0.240 0.027 0.151 0.793
lambda_H[11] 0.231 0.321 0.010 0.108 1.097
lambda_H[12] 3.657 5.051 0.175 2.097 15.368
lambda_H[13] 3.148 2.820 0.261 2.348 10.716
lambda_H[14] 3.425 4.397 0.246 2.209 14.034
lambda_H[15] 0.019 0.023 0.003 0.014 0.062
lambda_H[16] 0.532 0.887 0.033 0.271 2.699
mu_lambda_H[1] 4.047 1.856 1.047 3.855 8.177
mu_lambda_H[2] 3.758 1.984 0.536 3.602 7.889
mu_lambda_H[3] 3.346 1.850 0.658 3.057 7.495
sigma_lambda_H[1] 8.075 4.326 1.636 7.302 18.018
sigma_lambda_H[2] 8.266 4.738 0.872 7.682 18.363
sigma_lambda_H[3] 6.119 4.075 0.819 5.204 16.090
beta_H[1,1] 6.483 1.365 3.270 6.717 8.510
beta_H[2,1] 9.740 0.609 8.422 9.785 10.823
beta_H[3,1] 7.838 0.776 6.000 7.920 9.114
beta_H[4,1] 10.680 7.953 -6.247 10.636 26.296
beta_H[5,1] -0.237 2.615 -5.898 -0.035 4.231
beta_H[6,1] 3.274 4.182 -7.203 4.820 8.231
beta_H[7,1] 1.107 5.686 -10.922 1.496 11.798
beta_H[8,1] 1.280 3.553 -2.938 1.240 3.501
beta_H[9,1] 13.682 5.657 2.811 13.495 25.416
beta_H[10,1] 6.833 1.833 3.112 6.902 10.192
beta_H[11,1] 4.990 3.500 -2.822 5.608 9.972
beta_H[12,1] 2.643 1.140 0.590 2.555 5.141
beta_H[13,1] 9.100 0.920 7.244 9.156 10.628
beta_H[14,1] 2.156 0.944 0.390 2.145 4.091
beta_H[15,1] -7.057 3.382 -13.090 -7.155 0.091
beta_H[16,1] 3.863 2.937 -0.937 3.436 10.701
beta_H[1,2] 7.777 0.276 7.223 7.776 8.299
beta_H[2,2] 9.882 0.166 9.550 9.883 10.203
beta_H[3,2] 8.801 0.204 8.382 8.804 9.184
beta_H[4,2] 3.005 1.491 0.188 2.930 6.078
beta_H[5,2] 1.761 1.032 -0.261 1.764 3.794
beta_H[6,2] 6.057 1.117 3.509 6.251 7.786
beta_H[7,2] 2.427 1.057 0.530 2.342 4.755
beta_H[8,2] 3.029 1.064 1.232 3.167 4.284
beta_H[9,2] 3.166 1.080 1.023 3.159 5.351
beta_H[10,2] 8.024 0.373 7.252 8.026 8.754
beta_H[11,2] 9.819 0.638 8.876 9.710 11.203
beta_H[12,2] 3.948 0.376 3.239 3.934 4.710
beta_H[13,2] 9.149 0.252 8.689 9.137 9.677
beta_H[14,2] 4.018 0.336 3.366 4.014 4.696
beta_H[15,2] 11.568 0.617 10.277 11.599 12.671
beta_H[16,2] 4.488 0.822 2.997 4.454 6.206
beta_H[1,3] 8.449 0.261 7.956 8.447 8.957
beta_H[2,3] 9.872 0.147 9.587 9.870 10.158
beta_H[3,3] 9.469 0.164 9.153 9.466 9.798
beta_H[4,3] -2.144 0.872 -3.907 -2.118 -0.477
beta_H[5,3] 3.872 0.605 2.660 3.875 5.040
beta_H[6,3] 8.405 1.188 6.741 8.087 10.964
beta_H[7,3] -2.566 0.634 -3.807 -2.560 -1.334
beta_H[8,3] 5.315 0.518 4.712 5.233 6.461
beta_H[9,3] -2.641 0.696 -4.038 -2.628 -1.312
beta_H[10,3] 8.559 0.279 8.023 8.557 9.110
beta_H[11,3] 8.499 0.287 7.899 8.516 8.994
beta_H[12,3] 5.268 0.317 4.551 5.301 5.806
beta_H[13,3] 8.841 0.177 8.477 8.844 9.175
beta_H[14,3] 5.786 0.260 5.211 5.805 6.254
beta_H[15,3] 10.276 0.294 9.698 10.275 10.868
beta_H[16,3] 5.967 0.610 4.728 5.986 7.071
beta_H[1,4] 8.096 0.187 7.701 8.107 8.431
beta_H[2,4] 9.857 0.129 9.602 9.858 10.105
beta_H[3,4] 9.966 0.155 9.630 9.975 10.242
beta_H[4,4] 11.808 0.476 10.872 11.804 12.730
beta_H[5,4] 5.562 0.745 4.344 5.477 7.243
beta_H[6,4] 7.237 0.936 5.308 7.485 8.581
beta_H[7,4] 8.555 0.357 7.853 8.555 9.243
beta_H[8,4] 6.715 0.258 6.160 6.732 7.130
beta_H[9,4] 7.413 0.447 6.561 7.402 8.326
beta_H[10,4] 7.519 0.222 7.083 7.520 7.971
beta_H[11,4] 9.513 0.186 9.149 9.510 9.878
beta_H[12,4] 7.259 0.200 6.880 7.255 7.656
beta_H[13,4] 9.054 0.141 8.771 9.056 9.322
beta_H[14,4] 7.836 0.211 7.426 7.825 8.268
beta_H[15,4] 9.487 0.217 9.062 9.483 9.941
beta_H[16,4] 9.419 0.241 8.965 9.409 9.902
beta_H[1,5] 8.895 0.154 8.576 8.897 9.195
beta_H[2,5] 10.675 0.100 10.490 10.672 10.881
beta_H[3,5] 10.763 0.161 10.477 10.759 11.083
beta_H[4,5] 8.340 0.497 7.365 8.325 9.366
beta_H[5,5] 5.171 0.587 3.800 5.240 6.145
beta_H[6,5] 8.984 0.626 8.022 8.874 10.372
beta_H[7,5] 6.578 0.353 5.895 6.574 7.296
beta_H[8,5] 8.246 0.217 7.903 8.228 8.715
beta_H[9,5] 8.206 0.459 7.272 8.223 9.110
beta_H[10,5] 10.036 0.225 9.601 10.035 10.495
beta_H[11,5] 11.585 0.217 11.153 11.589 11.997
beta_H[12,5] 8.608 0.189 8.241 8.610 8.975
beta_H[13,5] 10.133 0.128 9.895 10.128 10.400
beta_H[14,5] 9.243 0.212 8.849 9.237 9.683
beta_H[15,5] 11.307 0.230 10.864 11.309 11.760
beta_H[16,5] 9.841 0.187 9.452 9.844 10.195
beta_H[1,6] 10.126 0.243 9.740 10.092 10.719
beta_H[2,6] 11.472 0.113 11.247 11.470 11.695
beta_H[3,6] 10.621 0.158 10.294 10.630 10.905
beta_H[4,6] 12.935 0.882 11.107 12.963 14.577
beta_H[5,6] 5.669 0.616 4.578 5.633 6.943
beta_H[6,6] 8.787 0.580 7.476 8.823 9.862
beta_H[7,6] 10.571 0.603 9.381 10.586 11.721
beta_H[8,6] 9.521 0.273 8.989 9.542 9.963
beta_H[9,6] 8.264 0.767 6.789 8.250 9.823
beta_H[10,6] 9.151 0.341 8.415 9.168 9.747
beta_H[11,6] 10.696 0.356 9.951 10.722 11.325
beta_H[12,6] 9.376 0.238 8.918 9.367 9.876
beta_H[13,6] 11.085 0.149 10.800 11.081 11.388
beta_H[14,6] 9.917 0.279 9.358 9.924 10.445
beta_H[15,6] 10.558 0.416 9.736 10.565 11.358
beta_H[16,6] 10.602 0.253 10.079 10.607 11.098
beta_H[1,7] 10.096 1.329 6.702 10.419 11.895
beta_H[2,7] 12.121 0.509 11.018 12.140 13.048
beta_H[3,7] 10.289 0.655 8.810 10.357 11.409
beta_H[4,7] 1.295 4.524 -7.431 1.178 10.480
beta_H[5,7] 5.886 2.009 1.978 5.924 9.922
beta_H[6,7] 7.216 3.228 -0.814 8.389 11.079
beta_H[7,7] 7.581 3.034 1.847 7.539 13.665
beta_H[8,7] 10.893 0.971 9.235 10.878 12.666
beta_H[9,7] 5.055 3.959 -3.067 5.076 12.698
beta_H[10,7] 9.987 1.603 7.111 9.872 13.407
beta_H[11,7] 11.360 1.774 8.251 11.174 15.146
beta_H[12,7] 9.799 0.952 7.718 9.886 11.443
beta_H[13,7] 11.733 0.692 10.166 11.790 12.952
beta_H[14,7] 10.664 0.918 8.725 10.696 12.376
beta_H[15,7] 13.911 2.174 9.690 13.883 18.135
beta_H[16,7] 12.808 1.362 10.448 12.686 15.712
beta0_H[1] 9.087 19.022 -27.917 8.774 50.036
beta0_H[2] 10.509 8.216 -6.478 10.499 26.155
beta0_H[3] 9.460 10.238 -12.461 9.759 29.628
beta0_H[4] 7.113 183.658 -361.581 10.048 361.511
beta0_H[5] 3.452 28.239 -54.947 4.009 55.089
beta0_H[6] 8.118 53.375 -116.832 8.110 128.005
beta0_H[7] 4.380 137.776 -271.902 2.640 284.577
beta0_H[8] 5.486 27.608 -20.288 6.414 30.969
beta0_H[9] 2.123 118.210 -240.251 1.266 233.075
beta0_H[10] 8.359 37.113 -69.789 8.752 83.206
beta0_H[11] 10.070 56.126 -104.475 9.904 132.291
beta0_H[12] 6.792 14.038 -16.572 6.651 32.289
beta0_H[13] 9.945 10.941 -11.153 9.885 31.491
beta0_H[14] 7.309 11.129 -14.718 7.363 30.083
beta0_H[15] 4.529 116.324 -240.372 6.837 236.442
beta0_H[16] 8.462 31.497 -50.482 7.859 75.617